The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A125422 Number of base 10 circular n-digit numbers with adjacent digits differing by 7 or less. 0

%I #11 Jun 01 2017 12:05:23

%S 1,10,94,850,8022,75830,717388,6787364,64217998,607594090,5748711994,

%T 54391069402,514617618420,4869021638192,46067936415154,

%U 435868830209930,4123945024124830,39018441749664142,369170487886312636

%N Number of base 10 circular n-digit numbers with adjacent digits differing by 7 or less.

%C [Empirical] a(base,n)=a(base-1,n)+F(7) for base>=7.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

%F G.f.: (1 - 3*x^2 - 40*x^3 + 3*x^4 + 24*x^5) / ((1 - x - x^2)*(1 - 9*x - 5*x^2 + 6*x^3)) (conjectured). - _Colin Barker_, Jun 01 2017

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>7)+($[(i+1)mod N]`-$[i]`>7))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 19:23 EDT 2024. Contains 372665 sequences. (Running on oeis4.)